Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136ba |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
59740581888 = 212 · 310 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11964,503552] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:972:1] |
Generators of the group modulo torsion |
j |
63425726272/20007 |
j-invariant |
L |
8.4878023067573 |
L(r)(E,1)/r! |
Ω |
1.0875605046382 |
Real period |
R |
1.9511103682437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999875 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71136bd4 23712a4 |
Quadratic twists by: -4 -3 |